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Finding the Fourth Proportional to 427,470.81, 641,382.78 and 187,460.48

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Solution

The fourth proportional to 427,470.81, 641,382.78 and 187,460.48 is: 281,268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,470.81 : 641,382.78 = 187,460.48 : x
  2. Step 2: Convert to fraction form
    427,470.81/641,382.78 = 187,460.48/x
  3. Step 3: Cross multiply
    427,470.81x = 641,382.78 × 187,460.48
  4. Step 4: Simplify right side
    427,470.81x = 120,233,920,595.62
  5. Step 5: Solve for x
    x = 120,233,920,595.62/427,470.81
  6. Step 6: Final answer
    x = 281,268.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.